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Finding the Third Proportional to 302,659,989.75 and 629,475,323.63

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Solution

The third proportional to 302,659,989.75 and 629,475,323.63 is: 1,309,189,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,659,989.75 : 629,475,323.63 = 629,475,323.63 : x
  2. Step 2: Convert to fraction form
    302,659,989.75/629,475,323.63 = 629,475,323.63/x
  3. Step 3: Cross multiply
    302,659,989.75x = 629,475,323.63 × 629,475,323.63
  4. Step 4: Simplify right side
    302,659,989.75x = 396,239,183,052,798,464
  5. Step 5: Solve for x
    x = 396,239,183,052,798,464/302,659,989.75
  6. Step 6: Final answer
    x = 1,309,189,177.53

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.